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Finding the Fourth Proportional to 9,668.64, 13,342.08 and 5,690.52

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Solution

The fourth proportional to 9,668.64, 13,342.08 and 5,690.52 is: 7,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.64 : 13,342.08 = 5,690.52 : x
  2. Step 2: Convert to fraction form
    9,668.64/13,342.08 = 5,690.52/x
  3. Step 3: Cross multiply
    9,668.64x = 13,342.08 × 5,690.52
  4. Step 4: Simplify right side
    9,668.64x = 75,923,373.08
  5. Step 5: Solve for x
    x = 75,923,373.08/9,668.64
  6. Step 6: Final answer
    x = 7,852.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.